Based on the continuum medium mechanics,the quadratic term of partial derivative of deforma- tion displacement with respect to the spatial position was kept in the related equation.The coupling terms of deformation motion were deduced.Two models were presented:zero order coupling model and first or- der coupling model.The finite element method was used for the system discretization and the coupling dy- namic equations of flexible plate attached to a central rigid body were obtained by using Jourdain's velocity variation principle.The angular velocity and the tip deformation of the pendulum were calculated.The difference of the dynamic property between zero order and coupling model was revealed.

LI Xin-ye,CHEN Yu-shu，ZHANG Qi-chang (School of Mechanical Engineering，Hebei University of Techanology,Tianjin 300312 China; School of Mechanical Engineering，Tianjin University,Tianjin 300072,China);Some Topics on Nonlinear Dynamics of Carrier Rocket[J];Journal of Hebei University of Technology;2001-06